The area to the right of z = 1.35 is 0.0885 and the area to the left of -0.47 is 0.3192.
<h3>How to compute the values?.</h3>Given z = 1.35
= 1- P(z < 1.35)
= 1- 0.9115
= 0.0885
The area to the left of -0.47 will be:
= 1 - P(z < 0.47)
= 1 - 0.6808
= 0.3192
Learn more about normal curve on:
#SPJ1
Answer:
The number of elephant ears that must be sold to maximize profit is 400.
Step-by-step explanation:
Given that,
The profit that a vendor makes per day is given by
P(x)= - 0.004x² +3.2 x -200
where x is number of elephant ears.
P(x)= - 0.004x² +3.2 x -200
Differentiating with respect to x
P'(x)= - 0.008x+3.2
Again differentiating with respect to x
P''(x) = -0.008
For maximum or minimum P'(x)=0
- 0.008x+3.2=0
⇒0.008x=3.2
⇒ x = 400
Since at x=400, P''(x)<0, the profit is maximize.
P(400) = -0.004×400²+3.2×400-200
=440
The number of elephant ears that must be sold to maximize profit is 400.
